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121,362

121,362 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

121,362 (one hundred twenty-one thousand three hundred sixty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 113 × 179. Its proper divisors sum to 124,878, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DA12.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
72
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
263,121
Square (n²)
14,728,735,044
Cube (n³)
1,787,508,742,409,928
Divisor count
16
σ(n) — sum of divisors
246,240
φ(n) — Euler's totient
39,872
Sum of prime factors
297

Primality

Prime factorization: 2 × 3 × 113 × 179

Nearest primes: 121,357 (−5) · 121,367 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 113 · 179 · 226 · 339 · 358 · 537 · 678 · 1074 · 20227 · 40454 · 60681 (half) · 121362
Aliquot sum (sum of proper divisors): 124,878
Factor pairs (a × b = 121,362)
1 × 121362
2 × 60681
3 × 40454
6 × 20227
113 × 1074
179 × 678
226 × 537
339 × 358
First multiples
121,362 · 242,724 (double) · 364,086 · 485,448 · 606,810 · 728,172 · 849,534 · 970,896 · 1,092,258 · 1,213,620

Sums & aliquot sequence

As consecutive integers: 40,453 + 40,454 + 40,455 30,339 + 30,340 + 30,341 + 30,342 10,108 + 10,109 + … + 10,119 1,018 + 1,019 + … + 1,130
Aliquot sequence: 121,362 124,878 144,258 144,270 286,290 458,298 642,438 785,322 959,958 1,250,442 1,485,174 1,485,186 1,485,198 2,301,858 3,257,850 5,054,118 5,054,130 — unresolved within range

Continued fraction of √n

√121,362 = [348; (2, 1, 2, 3, 10, 1, 16, 12, 6, 12, 16, 1, 10, 3, 2, 1, 2, 696)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand three hundred sixty-two
Ordinal
121362nd
Binary
11101101000010010
Octal
355022
Hexadecimal
0x1DA12
Base64
AdoS
One's complement
4,294,845,933 (32-bit)
Scientific notation
1.21362 × 10⁵
As a duration
121,362 s = 1 day, 9 hours, 42 minutes, 42 seconds
In other bases
ternary (3) 20011110220
quaternary (4) 131220102
quinary (5) 12340422
senary (6) 2333510
septenary (7) 1013553
nonary (9) 204426
undecimal (11) 831aa
duodecimal (12) 5a296
tridecimal (13) 43317
tetradecimal (14) 3232a
pentadecimal (15) 25e5c

As an angle

121,362° = 337 × 360° + 42°
42° ≈ 0.733 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκατξβʹ
Mayan (base 20)
𝋯·𝋣·𝋨·𝋢
Chinese
一十二萬一千三百六十二
Chinese (financial)
壹拾貳萬壹仟參佰陸拾貳
In other modern scripts
Eastern Arabic ١٢١٣٦٢ Devanagari १२१३६२ Bengali ১২১৩৬২ Tamil ௧௨௧௩௬௨ Thai ๑๒๑๓๖๒ Tibetan ༡༢༡༣༦༢ Khmer ១២១៣៦២ Lao ໑໒໑໓໖໒ Burmese ၁၂၁၃၆၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121362, here are decompositions:

  • 5 + 121357 = 121362
  • 11 + 121351 = 121362
  • 13 + 121349 = 121362
  • 19 + 121343 = 121362
  • 29 + 121333 = 121362
  • 41 + 121321 = 121362
  • 53 + 121309 = 121362
  • 71 + 121291 = 121362

Showing the first eight; more decompositions exist.

Unicode codepoint
𝨒
Signwriting Forehead Contact
U+1DA12
Non-spacing mark (Mn)

UTF-8 encoding: F0 9D A8 92 (4 bytes).

Hex color
#01DA12
RGB(1, 218, 18)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.218.18.

Address
0.1.218.18
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.218.18

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 121,362 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 121362 first appears in π at position 692,461 of the decimal expansion (the 692,461ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.